{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/confidence-interval-calculator/schema.json",
  "title": "Confidence Interval Calculator inputs",
  "description": "Calculate a two-sided normal confidence interval and margin of error for a population mean.",
  "type": "object",
  "properties": {
    "sampleSize": {
      "title": "Sample size (n)",
      "type": "number",
      "default": 100,
      "minimum": 1,
      "maximum": 1000000000,
      "x-step": 1,
      "multipleOf": 1
    },
    "sampleMean": {
      "title": "Sample mean (x̄)",
      "type": "number",
      "default": 50,
      "x-step": 0.01
    },
    "standardDeviation": {
      "title": "Standard deviation (σ or s)",
      "type": "number",
      "default": 10,
      "minimum": 0,
      "x-step": 0.01
    },
    "confidenceLevel": {
      "title": "Confidence level",
      "type": "number",
      "default": 95,
      "enum": [
        80,
        85,
        90,
        95,
        98,
        99,
        99.9
      ],
      "x-optionLabels": {
        "80": "80%",
        "85": "85%",
        "90": "90%",
        "95": "95%",
        "98": "98%",
        "99": "99%",
        "99.9": "99.9%"
      }
    }
  },
  "required": [
    "sampleSize",
    "sampleMean",
    "standardDeviation",
    "confidenceLevel"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "2.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/confidence-interval-calculator/",
    "queryExample": "https://askcalculators.com/calculator/confidence-interval-calculator/?sampleSize=100&sampleMean=50&standardDeviation=10&confidenceLevel=95",
    "migrationStatus": "migrated",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "migratedDate": "2026-08-25",
    "formula": {
      "expression": "CI=x̄±z*·σ/√n; margin of error=z*·σ/√n."
    },
    "quality": {
      "availability": "live",
      "technicalReviewRecord": "/reviews/confidence-interval-calculator.json",
      "qualifiedReview": "pending",
      "qualifiedReviewer": null,
      "qualifiedReviewDate": null,
      "formulaVersion": "2.0.0",
      "referenceCoverage": "references-listed",
      "releaseTestScope": "Flagship reference cases are specified in scripts/test-v20-1.mjs; consult release evidence for executed results.",
      "historicalMetadataDate": "2026-08-25",
      "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
    },
    "outputs": {
      "lowerBound": {
        "title": "Lower bound",
        "type": "number",
        "x-format": "number",
        "x-digits": 6,
        "x-primary": true
      },
      "upperBound": {
        "title": "Upper bound",
        "type": "number",
        "x-format": "number",
        "x-digits": 6,
        "x-primary": true
      },
      "interval": {
        "title": "Confidence interval",
        "type": "string",
        "x-format": "text"
      },
      "marginOfError": {
        "title": "Margin of error",
        "type": "number",
        "x-format": "number",
        "x-digits": 6
      },
      "standardError": {
        "title": "Standard error",
        "type": "number",
        "x-format": "number",
        "x-digits": 6
      },
      "criticalZ": {
        "title": "Critical z-score",
        "type": "number",
        "x-format": "number",
        "x-digits": 6
      }
    }
  }
}